"Parent to" - confusing and misleading
Given the fact that there are more than seven billion people out there, it approaches certainty that many might share a similar view, even among the Blender community right now.

Personally I never saw this as a two way street until you brought it up. I have never seen the word used in that particular manner outside 3D. Turn B into A's parent would be more obvious, I agree.

It all comes down to definitions and associations. You try to give the verb a universally applicable meaning. And Blender's use of the verb collides a  bit with previous uses of the word.

In Blender, parenting A to B should always mean: B is the parent, A is the child.

Just substitute 'parenting' with 'glueing'. Glue A to B. It's at least tempting to assume that B is somehow bigger, even if it's a bit biased.